Two brass rods AB and BC, each of uniform diameter, will be brazed together at B...

Two brass rods AB and BC, each of uniform diameter, will be brazed together at B to form a nonuniform rod of total length L=110 m that will be suspended from a support at A as shown. Knowing that the density of brass is ρ=9000 kg/m3 and the diameter of AB is c=16 mm, Determine (a) the length of rod AB for which the maximum normal stress in ABC is minimum, (b) the corresponding value of the maximum normal stress.

https://media.cheggcdn.com/study/bc1/bc172d89-4cc0-4d54-b938-583fbc0d8e1e/4739-1-6IP1.png

a.The maximum axial stress, in member AB, is written as max(σ_AB)=( a+ ) (MPa)

b.The maximum axial stress, in member BC, is written as max(σ_BC)= ( - a) (MPa)

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A uniform brass solid cylinder has a mass, m = 500 g, and a diameter, D...

A uniform brass solid cylinder has a mass, m = 500 g, and a diameter, D = 6 cm and a length L = 1 m. The cylinder rotates about its axis of rotational symmetry at an angular velocity of 60 radians/s on a frictionless bearing. (a) What is the angular momentum of the cylinder? (b) How much work was required to increase the angular momentum of the cylinder to this value if the cylinder was initially at rest? Once...

Two rods, one made of brass and the other made of copper, are joined end to...

Two rods, one made of brass and the other made of copper, are joined end to end. The length of the brass section is 0.500 m and the length of the copper section is 0.700 m . Each segment has cross-sectional area 0.00700 m2 . The free end of the brass segment is in boiling water and the free end of the copper segment is in an ice-water mixture, in both cases under normal atmospheric pressure. The sides of the...

The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random...

The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two random samples of sizes ?1 = 20 and ?2 = 24 are selected, and the sample means and sample variances are ?̅̅1̅ = 9.22, ?1 = 0.55, ?̅̅2̅ = 9.43, and ?2 = 0.62, respectively. Assume that ?1 2 ≠ ?2 2 and that the data are drawn from a normal distribution. Is there evidence to support the claim that machine 1 produces rods with...

Two very long slender rods of the same diameter are given. One rod is of aluminum...

Two very long slender rods of the same diameter are given. One rod is of aluminum and has a thermal conductivity k1=200W/ (m.0C), but the thermal conductivity k2 of the other rod is not known. To determine the thermal conductivity of the other rod, one end of each rod is thermally attached to a metal surface which is maintained at a constant temperature T0. Both rods are losing heat by convection with a heat transfer coefficient h into the ambient...

A raft is made of 9 logs lashed together. Each is 41 cm in diameter and...

A raft is made of 9 logs lashed together. Each is 41 cm in diameter and has a length of 6.9 m. How many people can the raft hold before they start getting their feet wet, assuming the average person has a mass of 63 kg? Do not neglect the weight of the logs. Assume the specific gravity of wood is 0.61

A raft is made of 15 logs lashed together. Each is 41 cm in diameter and...

A raft is made of 15 logs lashed together. Each is 41 cm in diameter and has a length of 6.2 m . How many people can the raft hold before they start getting their feet wet, assuming the average person has a mass of 70 kg ? Do not neglect the weight of the logs. Assume the specific gravity of wood is 0.60.

An operation * is defined for two-valued variables a and b as follows: a*b = ab+a’b’

An operation * is defined for two-valued variables a and b as follows: a*b = ab+a’b’Let c = a*b. Determine which of the following identities are valid:a = b*ca*(bc) =1

3. A cube of Brass (B = 70 GPa) measuring 1.0 m on each side is...

3. A cube of Brass (B = 70 GPa) measuring 1.0 m on each side is submerged under water. It is lowerd to a depth where a force "F" is acting perpendicularly into each side, reduces the cube's volume by 1.8 %. (a) Calculate the size of this force. 2.A researcher examines a piece of fresh human cartilage, with an area of 1.9 cm2. She observes that when subjected to a tensile force of 194 N it stretches by 4.8...

Two metal rods, one silver and the other gold, are attached to each other. The free...

Two metal rods, one silver and the other gold, are attached to each other. The free end of the silver rod is connected to a steam chamber, with a temperature of 100°C, and the free end of the gold rod to an ice water bath, with a temperature of 0°C. The rods are 5.0 cm long and have a square cross-section, 2.0 cm on a side. How much heat flows through the two rods in 60 s? The thermal conductivity...

Discs A and B each have a rotational inertia about the central axis of 0.300 kg m?, a radius of 20.0 cm, and can freely rotate around the center rods passing through these two discs, in the same direction around the rods.

Discs A and B each have a rotational inertia about the central axis of 0.300 kg m, a radius of 20.0 cm, and can freely rotate around the center rods passing through these two discs, in the same direction around the rods. Each was rolled up to turn and pulled for 10.0 s. (The string falls off the end) The magnitude of the force pulling the string is 30.0 N for Disc A and 20.0 N for Disc B. After...

Subjects